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11.4: Applications
https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_and_Applications_(Staelin)/11%3A_Common_Antennas_and_Applications/11.04%3A_Applications
The power P r received by the radar is then the power radiated by the flat-plate aperture, FP t G t /4 $\pi$ r 2 [W], inserted as P t into the link expression ( $\ref{11.4.6}$ ): P r = (FP t G t /4 $\pi$ ...The power P r received by the radar is then the power radiated by the flat-plate aperture, FP t G t /4 $\pi$ r 2 [W], inserted as P t into the link expression ( $\ref{11.4.6}$ ): P r = (FP t G t /4 $\pi$ r 2 )G f A r /4 $\pi$ r 2 . The gain of the flat plate aperture is $\mathrm{G}_{\mathrm{f}}=\mathrm{F} 4 \pi / \lambda^{2}$ , and $\mathrm{A}_{\mathrm{r}}=\mathrm{G} \lambda^{2} / 4 \pi$ , so G f A r = GF.

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